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Understanding Stack Complexity

Time Complexity

The stack is like a well-organized desk drawer: you always know where to find what you're looking for. Operations like push and pop are your go-to moves, and they're always fast. In technical terms, their time complexity is O(1).

  • Push: Constant time O(1) because we're adding elements to the top, and we always know where that is.
  • Pop: Constant time O(1) for the same reason. We're removing from the top, and it's easy to locate.

Space Complexity

If we talk about space, well, a stack is like your bookshelf. The more books (or elements) you add, the more space it's going to take. The space complexity is proportional to the number of elements, making it O(n).

So in a nutshell:

  • Time Complexity: O(1) for both push and pop.
  • Space Complexity: O(n).